Answer:
Step-by-step explanation:
exponential function : y = a(b)^x
where a = y intercept and b = factor ( number you are multiplying by )
according the the graph the y intercept is a 1 so a = 1
we now have y = 1(b)^x
to find the factor you plug in one of the ordered pairs into y = 1(b)^x
the ordered pair you use will not effect the outcome, i have chose (2,9)
y = 1(b)^x
(x,y) = (2,9) so x = 2 and y = 9
9 = 1(b)^2
divide both sides by 1
9 = (b)^2
take the square root of both sides
3 = b
the final equation is y = 1(3)^x or just y = 3^x
<h3><u>The value of x is equal to -9.</u></h3><h3><u>The value of y is equal to 1.</u></h3>
x - 3y = -12
<em><u>Add 3y to both sides.</u></em>
x = -12 + 3y
<em><u>Plug the value of x into the second equation.</u></em>
2(-12 + 3y) + 11y = -7
<em><u>Distributive property.</u></em>
-24 + 6y + 11y = -7
<em><u>Add 24 to both sides.</u></em>
6y + 11y = 17
<em><u>Combine like terms.</u></em>
17y = 17
<em><u>Divide both sides by 17.</u></em>
y = 1
Now that we have the value of y we can plug it into the original equation to find the value of x.
x - 3(1) = -12
x - 3 = -12
<em><u>Add 3 to both sides.</u></em>
x = -9
The surface area of a rectangular prism is given by:
A = 2 * (x * y) + 2 * (x * z) + 2 * (y * z)
where,
x, y, z: are the sides of the rectangular prism
Substituting values we have:
A = 2 * (2 * 8) + 2 * (2 * 11) + 2 * (8 * 11)
A = 252 in ^ 2
Answer:
The surface area of the prism in square inches is:
252 square inches
Answer:
dk dc
Step-by-step explanation:
Find the area of the whole rectangle and find the area of the not shaded part and then subtract them to find the are of the shaded part.
Area of whole: 10 * 6 = 60 cm²
Area of non shaded: 6 * 2 = 12 cm²
Area of shaded part:
60 - 12 = 48 cm²
Hope this helps :)
